Finding the Third Proportional to 12,583.13 and 17,636.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,583.13 : 17,636.63 = 17,636.63 : x
2. Step 2: Convert to fraction form
   12,583.13/17,636.63 = 17,636.63/x
3. Step 3: Cross multiply
   12,583.13x = 17,636.63 × 17,636.63
4. Step 4: Simplify right side
   12,583.13x = 311,050,541.39
5. Step 5: Solve for x
   x = 311,050,541.39/12,583.13
6. Step 6: Final answer
   x = 24,719.66